To find the perimeter of a square, you can use the formula:
\[ \text{Perimeter} = 4 \times \text{side length} \]
Given the side length of the square is \( \sqrt{212} \):
\[ \text{Perimeter} = 4 \times \sqrt{212} \]
Now, let's simplify \( \sqrt{212} \):
\[ \sqrt{212} = \sqrt{4 \times 53} = \sqrt{4} \times \sqrt{53} = 2\sqrt{53} \]
Now substituting this back into the perimeter calculation:
\[ \text{Perimeter} = 4 \times (2\sqrt{53}) = 8\sqrt{53} \]
Thus, the perimeter of the square in simplest radical form is:
\[ \boxed{8\sqrt{53}} \]
Regarding the given options, there does not seem to be a direct match to our answer, but the perimeter we calculated is indeed \(8\sqrt{53}\). Please provide clarity on the comparison of our answer with the provided choices.
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